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131422121 = 1761126733
BaseRepresentation
bin1111101010101…
…01011110101001
3100011021221020222
413311111132221
5232121001441
621012455425
73154032605
oct765253651
9304257228
10131422121
1168203426
123801a575
13212c5b8c
1413650505
15b80ed4b
hex7d557a9

131422121 has 8 divisors (see below), whose sum is σ = 141435144. Its totient is φ = 121662720.

The previous prime is 131422103. The next prime is 131422133. The reversal of 131422121 is 121224131.

It can be written as a sum of positive squares in 4 ways, for example, as 3279721 + 128142400 = 1811^2 + 11320^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131422121 - 222 = 127227817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131422121.

It is not an unprimeable number, because it can be changed into a prime (131422021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62330 + ... + 64403.

It is an arithmetic number, because the mean of its divisors is an integer number (17679393).

Almost surely, 2131422121 is an apocalyptic number.

It is an amenable number.

131422121 is a deficient number, since it is larger than the sum of its proper divisors (10013023).

131422121 is a wasteful number, since it uses less digits than its factorization.

131422121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126811.

The product of its digits is 96, while the sum is 17.

The square root of 131422121 is about 11463.9487525023. The cubic root of 131422121 is about 508.4202314101.

Adding to 131422121 its reverse (121224131), we get a palindrome (252646252).

The spelling of 131422121 in words is "one hundred thirty-one million, four hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 17 61 1037 126733 2154461 7730713 131422121